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Finding the Fourth Proportional to 3,448.97, 5,172.66 and 983.73

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Solution

The fourth proportional to 3,448.97, 5,172.66 and 983.73 is: 1,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.97 : 5,172.66 = 983.73 : x
  2. Step 2: Convert to fraction form
    3,448.97/5,172.66 = 983.73/x
  3. Step 3: Cross multiply
    3,448.97x = 5,172.66 × 983.73
  4. Step 4: Simplify right side
    3,448.97x = 5,088,500.82
  5. Step 5: Solve for x
    x = 5,088,500.82/3,448.97
  6. Step 6: Final answer
    x = 1,475.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.